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Self-assembly processes in biological and synthetic biomolecular systems are often governed by the spatial separation of biochemical processes. While previous work has focused on optimizing self-assembly through fine-tuned reaction…

Biological Physics · Physics 2026-02-17 Severin Angerpointner , Richard Swiderski , Erwin Frey

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

Statistical Mechanics · Physics 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

Self-assembly in natural and synthetic molecular systems can create complex aggregates or materials whose properties and functionality rises from their internal structure and molecular arrangement. The key microscopic features that control…

Soft Condensed Matter · Physics 2021-09-03 Alberto Scacchi , Maria Sammalkorpi , Tapio Ala-Nissila

Selected theoretical developments in modeling of deposition of submicrometer size (submicron) particles on solid surfaces, with and without surface diffusion, of interest in colloid, polymer, and certain biological systems, are surveyed. We…

Materials Science · Physics 2008-10-16 Vladimir Privman

Interaction between dipolar forces, such as permanent magnets, generally leads to the formation of one-dimensional chains and rings. We investigated whether it was possible to let dipoles self-assemble into three-dimensional structures by…

Applied Physics · Physics 2020-05-12 Leon Abelmann , Tijmen Hageman , Per Löthman , Massimo Mastrangeli , Miko Elwenspoek

We introduce a new model of algorithmic tile self-assembly called size-dependent assembly. In previous models, supertiles are stable when the total strength of the bonds between any two halves exceeds some constant temperature. In this…

Computational Geometry · Computer Science 2015-09-24 Sándor P. Fekete , Robert T. Schweller , Andrew Winslow

In equilibrium self-assembly, microscopic building blocks spontaneously self-organize into stable structures as dictated by their interaction potentials, which limits the accessible structural features to those that correspond to global…

Soft Condensed Matter · Physics 2026-04-17 Pepijn G. Moerman , Chenghung Chou , Thomas E. Videbæk , W. Benjamin Rogers , Rebecca Schulman

We show that geometric frustration in a broad class of deformable and naturally curved, shell-like colloidal particles gives rise to self-limiting assembly of finite-sized stacks that far exceed particle dimensions. When inter-particle…

Soft Condensed Matter · Physics 2023-08-08 Nabila Tanjeem , Douglas M. Hall , Montana B. Minnis , Ryan C. Hayward , Gregory M. Grason

Using the principle of structural analogy of solutions, approaches have been developed for constructing exact solutions of complex nonlinear PDEs, including PDEs with delay, based on the use of special solutions to auxiliary simpler related…

Exactly Solvable and Integrable Systems · Physics 2024-06-03 Andrei D. Polyanin

In living cells, proteins self-assemble into large functional structures based on specific interactions between molecularly complex patches. Due to this complexity, protein self-assembly results from a competition between a large number of…

Soft Condensed Matter · Physics 2024-12-10 Lara Koehler , Pierre Ronceray , Martin Lenz

Multiple dissipative self-assembly protocols designed to create novel structures or to reduce kinetic traps have recently emerged. Specifically, temporal oscillations of particle interactions have been shown effective at both aims, but…

Soft Condensed Matter · Physics 2024-10-25 Jessica K. Niblo , Jacob R. Swartley , Zhongmin Zhang , Kateri H. DuBay

Understanding how highly symmetric, robust, monodisperse protein cages self-assemble can have major applications in various areas of bio-nanotechnology, such as drug delivery, biomedical imaging and gene therapy. We develop a model to…

Soft Condensed Matter · Physics 2018-09-11 Sanaz Panahandeh , Siyu Li , Roya Zandi

Self-assembly, the process by which interacting components form well-defined and often intricate structures, is typically thought of as a spontaneous process arising from equilibrium dynamics. When a system is driven by external…

Statistical Mechanics · Physics 2021-11-12 Shriram Chennakesavalu , Grant M. Rotskoff

The molecular self-assembly of various structures such as micelles and vesicles has been the subject of comprehensive studies. Recently, a new approach to design these structures, the frame-guided assembly, has been developed to progress…

Chemical Physics · Physics 2022-05-11 Simon Raschke , Andreas Heuer

We describe some of the important physical characteristics of the `pathways', i.e. dynamical processes, by which molecular, nanoscale and micron-scale self-assembly occurs. We highlight the fact that there exist features of self-assembly…

Statistical Mechanics · Physics 2016-03-22 Stephen Whitelam , Robert L. Jack

Majumder, Reif and Sahu have presented a stochastic model of reversible, error-permitting, two-dimensional tile self-assembly, and showed that restricted classes of tile assembly systems achieved equilibrium in (expected) polynomial time.…

Computational Complexity · Computer Science 2009-08-04 Aaron Sterling

We use computational modeling to investigate the assembly thermodynamics of a particle-based model for geometrically frustrated assembly, in which the local packing geometry of subunits is incompatible with uniform, strain-free large-scale…

Soft Condensed Matter · Physics 2021-09-06 Botond Tyukodi , Farzaneh Mohajerani , Douglas M. Hall , Gregory M. Grason , Michael F. Hagan

Designing components that can robustly self-assemble into structures with biological complexity is a grand challenge for material science. Proofreading and error correction is required to improve assembly yield beyond equilibrium limits,…

Soft Condensed Matter · Physics 2023-12-15 Qian-Ze Zhu , Chrisy Xiyu Du , Ella M. King , Michael P. Brenner

Ordered nanoarrays, i.e. regular patterns of quantum structures at the nanometre scale, have recently been synthesized in a wide range of systems. Here I explore a possible route to technological exploitation: assuming a simple form of…

Other Condensed Matter · Physics 2007-05-23 Simon C. Benjamin

We study the power of uncontrolled random molecular movement in the nubot model of self-assembly. The nubot model is an asynchronous nondeterministic cellular automaton augmented with rigid-body movement rules (push/pull, deterministically…

Data Structures and Algorithms · Computer Science 2014-09-18 Ho-Lin Chen , David Doty , Dhiraj Holden , Chris Thachuk , Damien Woods , Chun-Tao Yang
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